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2222643456 = 283311233141
BaseRepresentation
bin1000010001111010…
…1101100100000000
312201220021222122000
42010132231210000
514022444042311
61004314544000
7106036105035
oct20436554400
95656258560
102222643456
11a40695a20
12520438000
1329562c057
1417129338c
15d01e1056
hex847ad900

2222643456 has 576 divisors, whose sum is σ = 7911751680. Its totient is φ = 608256000.

The previous prime is 2222643439. The next prime is 2222643463. The reversal of 2222643456 is 6543462222.

2222643456 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 643 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2222643456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54210796 + ... + 54210836.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 22222643456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955875840).

2222643456 is an abundant number, since it is smaller than the sum of its proper divisors (5689108224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2222643456 is a wasteful number, since it uses less digits than its factorization.

2222643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2222643456 is about 47144.9197263077. The cubic root of 2222643456 is about 1305.0383289046.

The spelling of 2222643456 in words is "two billion, two hundred twenty-two million, six hundred forty-three thousand, four hundred fifty-six".